A lot of people ride them on the street.
Generally speaking I think the geometry tends to be a bit more aggressive than the Rush, but there are tons of different Keirin frames. they all have different geometry. Wether a particular frame is appropriate for street use depends entirely upon how you feel about it. Of course you can ride it on the street. Will you be comfortable doing that? I can't guess. Some people ride stuff that I think looks terribly uncomfortable, but then a lot of people think that about my bikes too.